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Finding the Third Proportional to 85,869 and 125,727

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Solution

The third proportional to 85,869 and 125,727 is: 184,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,869 : 125,727 = 125,727 : x
  2. Step 2: Convert to fraction form
    85,869/125,727 = 125,727/x
  3. Step 3: Cross multiply
    85,869x = 125,727 × 125,727
  4. Step 4: Simplify right side
    85,869x = 15,807,278,529
  5. Step 5: Solve for x
    x = 15,807,278,529/85,869
  6. Step 6: Final answer
    x = 184,085.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.